Search a number
-
+
104736890781 = 334638378281
BaseRepresentation
bin110000110001011001…
…1100001111110011101
3101000100021221022211000
41201202303201332131
53204000121001111
6120040535020513
710365322611465
oct1414263417635
9330307838730
10104736890781
1140467276276
121837020a739
139b51cb8ab3
1450d81d2ba5
152ad001cc56
hex1862ce1f9d

104736890781 has 16 divisors (see below), whose sum is σ = 155500913920. Its totient is φ = 69673776480.

The previous prime is 104736890777. The next prime is 104736890789. The reversal of 104736890781 is 187098637401.

104736890781 is a `hidden beast` number, since 1 + 0 + 473 + 6 + 8 + 90 + 7 + 81 = 666.

It is not a de Polignac number, because 104736890781 - 22 = 104736890777 is a prime.

It is a super-3 number, since 3×1047368907813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104736890789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4176640 + ... + 4201641.

It is an arithmetic number, because the mean of its divisors is an integer number (9718807120).

Almost surely, 2104736890781 is an apocalyptic number.

It is an amenable number.

104736890781 is a deficient number, since it is larger than the sum of its proper divisors (50764023139).

104736890781 is an equidigital number, since it uses as much as digits as its factorization.

104736890781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378753 (or 8378747 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 104736890781 in words is "one hundred four billion, seven hundred thirty-six million, eight hundred ninety thousand, seven hundred eighty-one".

Divisors: 1 3 9 27 463 1389 4167 12501 8378281 25134843 75404529 226213587 3879144103 11637432309 34912296927 104736890781